The square to solve the equation below. x^2+x=19/4

Take 1/2 of 1 and square it and add to both sides
1/2 squared=1/4, add to both sides

x^2+x+1/4=19/4+1/4
factor perfect square
(x+1/2)^2=20/4
(x+1/2)^2=5
square root both sides
x+1/2=+/-√5
minus 1/2 both sides
x=-1/2+/-√5

x=-1/2+√5 or
x=-1/2-√5
B is answer

First step is to get rid of the square root. remember that a square root is the same as raising to the (1/2) power. see below: multiply exponents per exponent rules to get: remember you subtract exponents from the denominator and add exponents in the numerator so: simplify further: so a is the correct choice. if you don't understand this google exponent rules and it will you understand. look at the image results.